Okay. First, try to only create the Random instance once, but for an example,
int rand = -15 + new Random().nextInt(31);
is the range -15 to 15.
The Random.nextInt(int) JavaDoc says (in part) Returns a pseudorandom, uniformly distributed int value between 0 (inclusive) and the specified value (exclusive). Note that your provided example of (30 - 20) + 1 is the range 0 to 10 (inclusive).
As a further example, to get the range 20 to 30 you would use:
int rand = 20 + new Random().nextInt(11);
Remember, the bounds of the result of is 0 to n.
30 - -10. I'm trying to make a survival simulator. That will be my temperature.
Ok. Let's write that range as -10 to 30. nextInt(n) will return a value between 0 and n, so if you want the range below 0 you must subtract 10 from the result and add 10 to the n. That's
Random random = new Random();
int rand = random.nextInt(41) - 10;
Now let's examine how we can determine those numbers. Remember, nextInt() will return between 0 and n (exclusive) and we want -10 to 30 (inclusive); so 41 is n and we subtract 10. If the result is 0 (the min) we get -10, if the result is 40 (the max) we get 30.